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Consolidity: Mystery of inner property of systems uncovered

This paper uncovers the mystery of consolidity, an inner property of systems that was amazingly hidden. Consolidity also reveals the secrecy of why strong stable and highly controllable systems are not invulnerable of falling and collapsing. Consolidity is measured by its Consolidity Index, defined as the ratio of overall changes of output parameters over combined changes of input and system parameters, all operating in fully fuzzy environment. Under this notion, systems are classified into consolidated, quasi-consolidated, neutrally consolidated, unconsolidated, quasi-unconsolidated and mixed types. The strategy for the implementation of consolidity is elaborated for both natural and man-made existing systems as well as the new developed ones. An important critique arises that the by-product consolidity of natural or built-as-usual system could lead to trapping such systems into a completely undesired unconsolidity. This suggests that the ample number of conventional techniques that do not take system consolidity into account should gradually be changed, and adjusted with improved consolidity-based techniques. Four Golden Rules are highlighted for handling system consolidity, and applied to several illustrative case studies. | Journal of Advanced Research 2012 3 345-358 Cairo University Journal of Advanced Research ORIGINAL ARTICLE Consolidity Mystery of inner property of systems uncovered Hassen T. Dorrah Department of Electrical Engineering Faculty of Engineering Cairo University Giza 12613 Egypt Received 24 September 2011 revised 2 November 2011 accepted 4 November 2011 Available online 29 December 2011 KEYWORDS Applied physics and engineering System consolidity Fuzzy theory and systems Superior consolidated systems Inferior consolidated systems System controllability Abstract This paper uncovers the mystery of consolidity an inner property of systems that was amazingly hidden. Consolidity also reveals the secrecy of why strong stable and highly controllable systems are not invulnerable of falling and collapsing. Consolidity is measured by its Consolidity Index defined as the ratio of overall changes of output parameters over combined changes of input and system parameters all operating in fully fuzzy environment. Under this notion systems are classified into consolidated quasi-consolidated neutrally consolidated unconsolidated quasi-unconsolidated and mixed types. The strategy for the implementation of consolidity is elaborated for both natural and man-made existing systems as well as the new developed ones. An important critique arises that the by-product consolidity of natural or built-as-usual system could lead to trapping such systems into a completely undesired unconsolidity. This suggests that the ample number of conventional techniques that do not take system consolidity into account should gradually be changed and adjusted with improved consolidity-based techniques. Four Golden Rules are highlighted for handling system consolidity and applied to several illustrative case studies. These case studies cover the consolidity analysis of the Drug Concentration problem Predator-Prey Population problem Spread of Infectious Disease problem AIDS Epidemic problem and Arm Race model. It